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Geometric vs Componentwise Vector Addition

  1. Jan 18, 2008 #1
    1. The problem statement, all variables and given/known data

    Which of following sets of conditions (A - F), if true, would show that the expressions 1 and 2 above define the same vector C_vec as expressions 3 and 4?

    1. The two pairs of expressions give the same length and direction for C_vec.
    2. The two pairs of expressions give the same length and x component for C_vec.
    3. The two pairs of expressions give the same direction and x component for C_vec.
    4. The two pairs of expressions give the same length and y component for C_vec.
    5. The two pairs of expressions give the same direction and y component for C_vec.
    6. The two pairs of expressions give the same x and y components for C_vec.

    2. Relevant equations

    1. C=\sqrt{A^2 +B^2 -2 A B \cos(c)},
    2. \phi = \sin^{-1}\left(\frac{B\sin(c)}{C}\right).
    3. C_x = A + B\cos(\theta),
    4. C_y = B\sin(\theta).

    3. The attempt at a solution

    I thought it would be one where you knew exactly what the vector was like AF and I don't know what I'm missing.
     
  2. jcsd
  3. Jan 19, 2008 #2

    Tom Mattson

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    Staff Emeritus
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    Gold Member

    Haven't you forgotten to include something?
     
  4. Feb 3, 2008 #3
    whats the answer?
     
  5. Jan 16, 2012 #4
    Any suggestions or answers on this problem yet? I'm having confusion on the same exact problem. I'm trying to search for help for on this problem. It seems to be a confusing one to answer.
     
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